Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole

TL;DR

This paper explores quantum entanglement in a Bose-Einstein condensate-based analogue black hole, analyzing bipartite and tripartite entanglement, and proposes an optical setup for measuring Hawking temperature and grey-body factors.

Contribution

It models the system as a three-mode Gaussian state, constructs the covariance matrix at various temperatures, and links entanglement measures to experimental observables.

Findings

Identification of bipartite and tripartite entanglement in the system

Proposal of an optical setup to measure Hawking temperature

Analysis of entanglement behavior at different temperatures

Abstract

We investigate quantum entanglement in an analogue black hole realized in the flow of a Bose-Einstein condensate. The system is described by a three-mode Gaussian state and we construct the corresponding covariance matrix at zero and finite temperature. We study associated bipartite and tripartite entanglement measures and discuss their experimental observation. We identify a simple optical setup equivalent to the analogue Bose-Einstein black hole which suggests a new way of determining the Hawking temperature and grey-body factor of the system.